Pith Number

pith:RWLUMNB5

pith:2018:RWLUMNB5PUAYF57AVD4B43FGAL

not attested not anchored not stored refs pending

Eulerian summation operators and a remarkable family of polynomials

Kathrin Maurischat, Rainer Weissauer

arxiv:1807.11208 v1 · 2018-07-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWLUMNB5PUAYF57AVD4B43FGAL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:09:32.645060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9746343d7d0182f7e0a8f81e6ca602ecd84098bc60d83d30e14d7944d88340

Aliases

arxiv: 1807.11208 · arxiv_version: 1807.11208v1 · doi: 10.48550/arxiv.1807.11208 · pith_short_12: RWLUMNB5PUAY · pith_short_16: RWLUMNB5PUAYF57A · pith_short_8: RWLUMNB5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RWLUMNB5PUAYF57AVD4B43FGAL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8d9746343d7d0182f7e0a8f81e6ca602ecd84098bc60d83d30e14d7944d88340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9499eed09972617b20c5e1bd377c7bd4be5ba12b7c0791af27422f3933639724",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-30T07:44:30Z",
    "title_canon_sha256": "da7e6da5f9d3bc4e679130a652b65b57d0dc8741f2aca0a4a9067e2c3d8d41ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11208",
    "kind": "arxiv",
    "version": 1
  }
}